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THE DETERMINED PROPERTY OF BAIRE IN REVERSE MATH

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Publication:5107225
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DOI10.1017/jsl.2019.64zbMath1506.03123arXiv1809.03940OpenAlexW3103204530WikidataQ127291439 ScholiaQ127291439MaRDI QIDQ5107225

Antonio Montalbán, Eric P. Astor, Damir D. Dzhafarov, Linda Brown Westrick, D. Reed Solomon

Publication date: 17 April 2020

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03940


zbMATH Keywords

Borel setsreverse mathematicsdual Ramsey theoremproperty of Bairetheories of hyperarithmetic analysis


Mathematics Subject Classification ID

Foundations of classical theories (including reverse mathematics) (03B30) Second- and higher-order arithmetic and fragments (03F35)


Related Items

Borel combinatorics fail in HYP ⋮ Effectiveness for the dual Ramsey theorem



Cites Work

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  • Lowness for genericity
  • A dual form of Ramsey's theorem
  • Effectiveness for the dual Ramsey theorem
  • Comparing theorems of hyperarithmetic analysis with the arithmetic Bolzano-Weierstrass theorem
  • Algorithmic Randomness and Complexity
  • Baire Sets of k-Parameter Words are Ramsey
  • Forcing with tagged trees
  • HIGHER RANDOMNESS AND GENERICITY
  • INDECOMPOSABLE LINEAR ORDERINGS AND HYPERARITHMETIC ANALYSIS
  • Uniformly introreducible sets
  • Recursive Pseudo-Well-Orderings
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